SOLUTION: The point (0,0) lies on the graphs of which functions? A. sine, tangent, and cotangent B. cosine and secant C. tangent and cotangent D. sine and tangent E. sine, cosine, and

Algebra ->  Trigonometry-basics -> SOLUTION: The point (0,0) lies on the graphs of which functions? A. sine, tangent, and cotangent B. cosine and secant C. tangent and cotangent D. sine and tangent E. sine, cosine, and      Log On


   

Question 1205885: The point (0,0) lies on the graphs of which functions?
A. sine, tangent, and cotangent
B. cosine and secant
C. tangent and cotangent
D. sine and tangent
E. sine, cosine, and tangent
F. cosine and cosecant
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
i believe selection D.

cotan(0) = 1/tan(0) = undefined, so selection A and C are no good.

cosin(0) = 1, so selection B and E and F are no good.

selection D is the only one where all the functions mentioned in it are 0 when x is 0.

that is only the tan function and the sin function.

listing all the functions at x = 0 gets you.

sin(0) = 0 *****
cos(0) = 1
tan(0) = sin(0)/cos(0) = 0/1 = 0 *****
cot(0) = 1/tan(0) = undefined
sec(0) = 1/cos(0) = 1/1 = 1
csc(0) = 1/sin(0) = 1/0 = undefined